{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 306,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.10.0\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import os\n",
    "import seaborn as sns\n",
    "import re"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 177,
   "metadata": {},
   "outputs": [],
   "source": [
    "filepath = '../test/single_diff/Output.log'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 308,
   "metadata": {},
   "outputs": [],
   "source": [
    "# stores tuple of process at each time step\n",
    "process = [];\n",
    "nIter = 0;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 309,
   "metadata": {},
   "outputs": [],
   "source": [
    "f = open (filepath, \"r\")\n",
    "nextIsSpecies = False\n",
    "SpeciesDict = {}\n",
    "nSpecies = 0\n",
    "\n",
    "# Looking for the number of iterations\n",
    "for l in f:\n",
    "    line = l.split()\n",
    "    if (line[0] == \"Reading\" and line[1] == \"Species\"):\n",
    "        nextIsSpecies = True\n",
    "    elif (nextIsSpecies):\n",
    "        if (line[0] == \"Reading\"):\n",
    "            SpeciesDict[line[1]] = nSpecies\n",
    "            nSpecies = nSpecies + 1\n",
    "        else:\n",
    "            nextIsSpecies = False\n",
    "    elif (line[0] == \"Running\" and line[2] == \"iterations\"):\n",
    "        nIter = int(line[1])\n",
    "        f.close()\n",
    "        break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 312,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Dimensions of the lattice\n",
    "(x, y) = (4, 4)\n",
    "started = False\n",
    "ts = 0\n",
    "nextIsProcessName = False\n",
    "nextLatticeHeight = False\n",
    "#Initialize layer\n",
    "layer = []\n",
    "\n",
    "#Initialize results\n",
    "results = []\n",
    "\n",
    "f = open(filepath, \"r\")\n",
    "\n",
    "# Iterate through each time step\n",
    "for l in f:\n",
    "    line = l.split()\n",
    "    if ((not started) and line[0] == \"Time\"):\n",
    "        started = True\n",
    "    if (line[0] == \"Time\" and line[1] == \"step:\"):\n",
    "        ts = int(line[2])\n",
    "        nextIsProcessName = True;\n",
    "        continue\n",
    "    elif (nextIsProcessName):\n",
    "        process.append((ts, line[0]))\n",
    "        nextIsProcessName = False\n",
    "    elif (not nextLatticeHeight and line[0] == \"---------------------------------------\"):\n",
    "        nextLatticeHeight = True\n",
    "    elif (nextLatticeHeight and line[0] == \"---------------------------------------\"):\n",
    "        results.append(layer)\n",
    "        layer = []\n",
    "        nextLatticeHeight = False\n",
    "    elif(nextLatticeHeight):\n",
    "        line = ' '.join(line)\n",
    "        # Split into substrings\n",
    "        parsed = re.findall(r'\\(.*?\\)', line) \n",
    "        heights = [x.split()[1] for x in parsed]\n",
    "        species_codes = [x[x.find(\"[\") + 1:x.find(\"]\")] for x in parsed]\n",
    "\n",
    "        for i in range(len(species_codes)):\n",
    "            if species_codes[i].strip():\n",
    "                species_codes[i] = species_codes[i].split()\n",
    "                species_codes[i] = [SpeciesDict[x] for x in species_codes[i]]\n",
    "        res2 = [(heights[i], species_codes[i]) for i in range(len(heights))]\n",
    "        layer.append(res2)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 314,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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wb8X+p8sGrSuBiZKmD/JWNamWkD8KPFIRQF9EfBRYONJOrbXmveH1PNT7ML0PP8LOnTv5r5t+6hN5xnO/vo9JczrpmD0DTZzA1MXv4MnVv8w7rIaVVHupRtKM7Of+DMwff79i/2ukgbsZSVrAQE4d8XzgsFMWEdE7zL7/GWmn1loTJoznr8/5NJ/83N/S39/P+48/htcd+Nq8w7K89Zd46O/+lddfeT6MG8/jV/03L967Ke+oGtbkdcjXSpoG7ATOiIgnJX0KICIuAU4CPi2pD3gBODkiRnyxoC8MGSMWHrmAhUcuyDsMS8xTN/+Kp27+Vd5hNFUzE3JEvHOQukvKXn8T+Gaz+vOFIQU1btw4nnnuud0Xhgzl3AuW0rP2bjo6OloUmeUp+kuMf+Veuy8MGcqcb5zD3ke8idKLO1sUWfNEHSU1HiEXVOe++3DTdd+r2m7pBee2IBpLxc4t27hrwelV2z3wmeETdsp8Lwszs0T4BvVmZokoJTkZURsnZDMrlHa+25sTspkVSvuOj52QzaxgPEI2M0tEn9p3jOyEbGaF0r7p2AnZzArGUxZmZonwsjczs0S0bzp2QjazgvGUhZlZIvrbeIzshGxmheIRsplZIsIjZDOzNHiEbGaWiHZe9uYnhphZoTTziSGSzpa0TtJ6SZ8dZL8kfV3SRkl3SXprI7F7hGxmhdLXpBGypHnAJ4AFwA7gx5JuiIiNZc2OBeZm5XDgW9nPEfEI2cwKJer4U8Ubgdsj4vmI6AN+CpxY0WYx8N0YsAZ4taTOkcbekhHysgevaUU3bWHi9APzDiEZ/l7sMb/3+rxDKIx6TupJ6gK6yqq6I6I7e70O+EdJ04AXgOOAnoq3mAlsKtvuzeq21BV0piUJuWfWCa3oJmm7/sI9v/TjOUeSv8nnfhvw9wL2fC9OPeCknCPJX7P+ga5n2VuWfLuH2LdB0lJgFfAcsJZRfmSfpyzMrFBKdZRqIuLyiDgsIhYCTwD3VjTZDMwu256V1Y2IE7KZFUp/RM2lGkkzsp/7MzB//P2KJiuAj2arLY4AnoqIEU1XgFdZmFnBNHkd8rXZHPJO4IyIeFLSpwAi4hJgJQNzyxuB54GG5iSdkM2sUJp56XREvHOQukvKXgdwRrP6c0I2s0LxpdNmZolo50unnZDNrFB8tzczs0TUsnoiVU7IZlYonrIwM0uET+qZmSXCc8hmZonwlIWZWSLCJ/XMzNLQ7xGymVkaPGVhZpYIT1mYmSXCI2Qzs0R42ZuZWSJ86bSZWSI8ZWFmlggnZDOzRLTzKgs/5NTMCqVE1FyqkXSOpPWS1klaLmlSxf6PSXpM0tqsnN5I7E7IZlYoUcef4UiaCZwFzI+IecB44ORBml4VEYdk5bJGYq86ZSFpAQPP8rtD0sHAIuA3EbGykY7NzEZDfzT1BpwTgJdL2glMBh5u5psP1tmQJJ0PHAtMkLQaOBy4BThP0qER8Y+jGZyZWb2aNYccEZsl/QvwEPACsCoiVg3S9AOSFgL3AudExKaR9lltyuIk4O3AQgYedX1CRHwJeC/w50MdJKlLUo+knu7u7pHGZmZWt3rmkMtzVVa6dr2PpCnAYmAOsB+wl6QPV3T3H8ABEfFmYDXwnUZirzZl0RcR/cDzkn4XEU8DRMQLkob8f0FEdAO7MnH0XOjZDTNrjXqu1KvIVZXeDTwQEY8BSPohcCTwb2XHP17W/jLgn+qNt1y1EfIOSZOz14ftqpT0Ktr7SSlmVlCliJpLFQ8BR0iaLEnA0cCG8gaSOss231e5v17VRsgLI+IlgIg/mCmfCJzSSMdmZqOhWfeyiIjbJV0D3An0Af8LdEu6EOiJiBXAWZLel+3fDnyskT6HTci7kvEg9duAbY10bGY2Gpq5yiIizgfOr6j++7L9XwC+0Kz+fKWemRVKDVMRyXJCNrNC8e03zcwS4RGymVkiPEI2M0tEf/TnHcKIOSGbWaG08+03nZDNrFB8g3ozs0R4hGxmlgivsjAzS4RXWZiZJaLJN6hvKSdkMysUzyGbmSXCc8hmZonwCNnMLBFeh2xmlgiPkM3MEuFVFmZmifBJPTOzRLTzlEW1p06bmbWVqONPNZLOkbRe0jpJyyVNqtj/MklXSdoo6XZJBzQSuxOymRVKRNRchiNpJnAWMD8i5gHjgZMrmp0GPBERrwO+BixtJHa1YHjfvv9/MLNWU6NvMKFjZs05p2/H5iH7yxLyGuAtwNPA9cDXI2JVWZsbgQsi4jZJE4BHgH1ihIm1FXPIDX/AzSCpKyK6844jBf4s9vBnsUdRPovhkmwlSV1AV1lV967PICI2S/oX4CHgBWBVeTLOzAQ2Ze37JD0FTAO2jST2sTRl0VW9yZjhz2IPfxZ7jLnPIiK6I2J+Wdn9D5KkKcBiYA6wH7CXpA+PZjxjKSGbmdXj3cADEfFYROwEfggcWdFmMzAbIJuyeBXw+Eg7dEI2MxvcQ8ARkiZLEnA0sKGizQrglOz1ScDNI50/hrGVkNt+bqyJ/Fns4c9iD38WZSLiduAa4E7gbgbyZbekCyW9L2t2OTBN0kbgc8B5jfTZilUWZmZWg7E0QjYzS5oTsplZIgqfkCUtkvTb7NLGhuZ32p2kZZK2SlqXdyx5kjRb0i2S7skuiz0775jyImmSpF9K+nX2WXwx75jGskLPIUsaD9wLvAfoBe4AlkTEPbkGlhNJC4Fnge9ml4KOSZI6gc6IuFPS3sCvgBPG4vciWz2wV0Q8K2ki8HPg7IhYk3NoY1LRR8gLgI0RcX9E7AB+wMBC7zEpIm4FtucdR94iYktE3Jm9foaBpUwz840qHzHg2WxzYlaKO0pLXNET8u7LGjO9jNG/eDa47O5chwK35xtJfiSNl7QW2AqszpZ7WQ6KnpDNhiTpFcC1wGcj4um848lLRPRHxCHALGCBpDE7nZW3oifk3Zc1ZmZldTbGZfOl1wJXRsQP844nBRHxJHALsCjvWMaqoifkO4C5kuZI6mDgXqYrco7JcpadyLoc2BARX807njxJ2kfSq7PXL2fgBPhv8o1q7Cp0Qo6IPuBM4EYGTtxcHRHr840qP5KWA7cBB0nqlXRa3jHl5O3AR4A/lbQ2K8flHVROOoFbJN3FwABmdUTckHNMY1ahl72ZmbWTQo+QzczaiROymVkinJDNzBLhhGxmlggnZDOzRDghm5klwgnZzCwR/weK72T0+QKGJgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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PsWvXLr5/50845V0nAvDla77GD3/yf193zCnvOpHvrf4hAGvuuocTjn8b6uCbs5gNqfZSjaSZ2c83MTx//K2y/W9U9gsjaSHDObXyPGEFFacsIqKvwr7X/3ZbriZNmsj//Phf8JFP/C8GBwf54zNO4y1HvRmARzc/xiknnfi6Y8464718+sovcPo553PQgQfwhc9e1u6wzZqqyeuQb5E0HdgFfCwinpf0UYCIuBY4G/gLSQPAq8C50cBZcV8YUjCL3rGQRe9Y+Lr6gYEB5s879nX1++wzhS/97WfaEZpZWzQzIUfESSPUXVvy+ivAV5rVny8M6WATJkzgpVdeec2FIaPp/vLn6nrvB9b3ctFf/g0HH+z5ZOssUUdJjUfIHWzWYYdy563faMl7Hz9/Hrd+45qWvLdZK/leFmZmifAN6s3MEjGU5GREbZyQzaxQOvlub07IZlYonTs+dkI2s4LxCNnMLBED6twxshOymRVK56ZjJ2QzKxhPWZiZJcLL3szMEtG56dgJ2cwKxlMWZmaJGOzgMbITspkVikfIZmaJCI+QzczS4BGymVkiOnnZm58YYmaF0swnhki6RFKvpA2SLh1hvyT9g6RNkh6S9AeNxO4RspkVykCTRsiS5gEfBhYCO4EfSLo9IjaVNDsdODorJwDXZD/HxCNkMyuUqONPFccC90XEjogYAH4CnFXWZinwTzFsHXCwpFljjb0tI+QVj93cjm46wuQZR+UdQjL8vdhrQd9teYdQGPWc1JPUBXSVVHVHRHf2uhf4nKTpwKvAEqCn7C1mA0+UbPdldVvrCjrTloTcM2dZO7pJ2u5fuB1XfyjnSPI39VNfA/y9gL3fi/OPODvnSPLXrH+g61n2liXf7lH2bZR0NbAGeAVYT4sf2ecpCzMrlKE6SjURcUNEHB8Ri4DngEfKmmwB5pZsz8nqxsQJ2cwKZTCi5lKNpJnZzzcxPH/8rbImq4APZKstTgReiIgxTVeAV1mYWcE0eR3yLdkc8i7gYxHxvKSPAkTEtcBqhueWNwE7gIbmJJ2QzaxQmnnpdEScNELdtSWvA/hYs/pzQjazQvGl02ZmiejkS6edkM2sUHy3NzOzRNSyeiJVTshmViiesjAzS4RP6pmZJcJzyGZmifCUhZlZIsIn9czM0jDoEbKZWRo8ZWFmlghPWZiZJcIjZDOzRHjZm5lZInzptJlZIjxlYWaWCCdkM7NEdPIqCz/k1MwKZYiouVQj6eOSNkjqlbRS0r5l+z8o6RlJ67NyYSOxOyGbWaFEHX8qkTQbuBhYEBHzgInAuSM0/U5EzM/K9Y3EXnXKQtJChp/ld7+k44DFwM8jYnUjHZuZtcJgNPUGnJOAN0jaBUwFnmzmm4/U2agkXQ6cDkyStBY4AfgxcJmkt0fE51oZnJlZvZo1hxwRWyR9EXgceBVYExFrRmj6J5IWAY8AH4+IJ8baZ7Upi7OBdwKLGH7U9bKIuBJ4L/Bnox0kqUtSj6Se7u7uscZmZla3euaQS3NVVrp2v4+kacBS4EjgcGA/Se8r6+5fgSMi4veBtcDXG4m92pTFQEQMAjsk/TIiXgSIiFcljfr/gojoBnZn4ui5wrMbZtYe9VypV5aryr0b+FVEPAMg6bvAO4B/Ljn+2ZL21wP/u954S1UbIe+UNDV7ffzuSkkH0dlPSjGzghqKqLlU8ThwoqSpkgScCmwsbSBpVsnmmeX761VthLwoIn4LEPGamfLJwHmNdGxm1grNupdFRNwn6WbgQWAA+H9At6QrgJ6IWAVcLOnMbP924ION9FkxIe9OxiPUbwO2NdKxmVkrNHOVRURcDlxeVv3XJfs/DXy6Wf35Sj0zK5QapiKS5YRsZoXi22+amSXCI2Qzs0R4hGxmlojBGMw7hDFzQjazQunk2286IZtZofgG9WZmifAI2cwsEV5lYWaWCK+yMDNLRJNvUN9WTshmViieQzYzS4TnkM3MEuERsplZIrwO2cwsER4hm5klwqsszMwS4ZN6ZmaJ6OQpi2pPnTYz6yhRx59qJH1c0gZJvZJWStq3bP8+kr4jaZOk+yQd0UjsTshmVigRUXOpRNJs4GJgQUTMAyYC55Y1uwB4LiLeAnwZuLqR2NWG4X3n/v/BzNpNjb7BpCmza845Azu3jNpflpDXAW8DXgRuA/4hItaUtLkD+JuIuFfSJOAp4NAYY2Jtxxxywx9wM0jqiojuvONIgT+LvfxZ7FWUz6JSki0nqQvoKqnq3v0ZRMQWSV8EHgdeBdaUJuPMbOCJrP2ApBeA6cC2scQ+nqYsuqo3GTf8Wezlz2KvcfdZRER3RCwoKXv+QZI0DVgKHAkcDuwn6X2tjGc8JWQzs3q8G/hVRDwTEbuA7wLvKGuzBZgLkE1ZHAQ8O9YOnZDNzEb2OHCipKmSBJwKbCxrswo4L3t9NvCjsc4fw/hKyB0/N9ZE/iz28mexlz+LEhFxH3Az8CDwMMP5slvSFZLOzJrdAEyXtAn4BHBZI322Y5WFmZnVYDyNkM3MkuaEbGaWiMInZEmLJf0iu7SxofmdTidphaR+Sb15x5InSXMl/VjSz7LLYi/JO6a8SNpX0k8l/Wf2WXw275jGs0LPIUuaCDwCvAfoA+4HlkfEz3INLCeSFgEvA/+UXQo6LkmaBcyKiAclHQA8ACwbj9+LbPXAfhHxsqTJwL8Dl0TEupxDG5eKPkJeCGyKiM0RsRP4NsMLvceliLgb2J53HHmLiK0R8WD2+iWGlzLNzjeqfMSwl7PNyVkp7igtcUVPyHsua8z0MU5/8Wxk2d253g7cl28k+ZE0UdJ6oB9Ymy33shwUPSGbjUrS/sAtwKUR8WLe8eQlIgYjYj4wB1goadxOZ+Wt6Al5z2WNmTlZnY1z2XzpLcA3I+K7eceTgoh4HvgxsDjvWMaroifk+4GjJR0paQrD9zJdlXNMlrPsRNYNwMaI+FLe8eRJ0qGSDs5ev4HhE+A/zzeq8avQCTkiBoCLgDsYPnFzU0RsyDeq/EhaCdwLHCOpT9IFeceUk3cC7wf+q6T1WVmSd1A5mQX8WNJDDA9g1kbE7TnHNG4VetmbmVknKfQI2cyskzghm5klwgnZzCwRTshmZolwQjYzS4QTsplZIpyQzcwS8f8B8HVSHAbuM6gAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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iMuAM4KOSeoBngbMiYtAXC/rCkGFi9kmzmH3SrLTDMBtyjUzIEfGmPuouK3n9LeBbjerPF4bkVFtbG08988z+C0P6s3jJUjrXrmP06NFNisxsaEUNJWs8Qs6pSRPHs/qG71Zst3TJ4iZEY9Y8vpeFmVlG+Ab1ZmYZUczkZER1nJDNLFda+W5vTshmliutOz52QjaznPEI2cwsI3rUumNkJ2Qzy5XWTcdOyGaWM56yMDPLCC97MzPLiNZNx07IZpYznrIwM8uIQguPkZ2QzSxXPEI2M8uI8AjZzCwbPEI2M8uIVl725ieGmFmuNPKJIZLOl7Re0gZJn+hjvyR9U9ImSfdKel09sXuEbGa50tOgEbKkGcCHgFnAHuCnkm6KiE0lzU4Djk7KCcClyc9B8QjZzHIlavhTwSuAuyJid0T0AL8A3lnWZgHwnei1BniJpEmDjb0pI+RlD17XjG5awqhxR6YdQmb4e3HAzK4b0w4hN2o5qSepHWgvqeqIiI7k9Xrg3ySNBZ4F5gGdZW8xBXikZLsrqdtWU9CJpiTkzqmnN6ObTNv3D2730g+mHEn6xiz+NgB7d25OOZL07fsFffb0M1KOJH2N+gVdy7K3JPl29LNvo6SlwCrgGWAtQ/zIPk9ZmFmuFGsolUTElRFxfETMBh4D7i9rsgWYVrI9NakbFCdkM8uVQkTVpRJJE5Kfh9E7f/y9siYrgPcnqy1OBJ6IiEFNV4BXWZhZzjR4HfL1yRzyXuBjEfG4pI8ARMRlwEp655Y3AbuBuuYknZDNLFcaeel0RLypj7rLSl4H8LFG9eeEbGa54kunzcwyopUvnXZCNrNc8d3ezMwyoprVE1nlhGxmueIpCzOzjPBJPTOzjPAcsplZRnjKwswsI8In9czMsqHgEbKZWTZ4ysLMLCM8ZWFmlhEeIZuZZYSXvZmZZYQvnTYzywhPWZiZZYQTsplZRrTyKgs/5NRyb8u2Rzn+lAW8a1Hvk3Z+uaaT+Wedy2lnns0V3712f7vFS5Zy0tx3s+rWO9IK1RqgSFRdKpH0SUkbJK2XtFzSQWX7PyBph6S1STm3ntidkG1YmDZlEtdffQmFQoEvf+0SLv3al1hxzeWs/Nlt/OmBhwBYumQxp7zxxJQjtXpFDX8GImkK8HFgZkTMAEYAZ/XR9AcRcVxSrqgn9ooJWdIsSX+fvD5W0qckzaunU7O0rNt4P4dNncy0KZMYNWoUp815Mz+/Y03aYVkDFaJYdanCSOD5kkYCY4CtQxn7gAlZ0oXAN4FLJf078C3gYOACSZ8bysDMhkL3jp28dML4/dsTJ4yje8efU4zIGi0iqi4V3mcL8FXgYWAb8ERErOqj6bsk3SvpOknT6om90gj5DOANwGx6H3V9ekR8CXgb8I/9HSSpXVKnpM6Ojo564jMzq0ktc8iluSop7fveR9IhwALgCGAycLCk95Z197/A9Ih4NXALcHU9sVdaZdETEQVgt6Q/RcSTABHxrKR+x/sR0QHsy8TRedHKemI0a5gJ48exvXvH/u1Hu3cyYfzYFCOyRqvlSr2yXFXuLcADEbEDQNIPgZOA/y45vvS/V1cA/1FrvKUqjZD3SBqTvD5+X6WkF9PaT0qxYWrGy1/Gw11b6dq6nb179/KT1b/wibycKUZUXSp4GDhR0hhJAuYAG0sbSJpUsvn28v21qjRCnh0RfwGI+KsZ8FHAono6NkvDyJEj+OwnP8qHP/V5CoUC75h/KkcdeXjaYVkDNepeFhFxl6TrgHuAHuC3QIeki4DOiFgBfFzS25P9u4AP1NPngAl5XzLuo34nsLOejs3SMvukWcw+aVbaYdgQqXL1RFUi4kLgwrLqL5Ts/wzwmUb153XIlnttbW089cwz+y8M6c/iJUvpXLuO0aNHNykyGwoNnLJoOl86bbk3aeJ4Vt/w3Yrtli5Z3IRobKj59ptmZhmRxZFvtZyQzSxXPEI2M8uIQhTSDmHQnJDNLFda+fabTshmliu+Qb2ZWUZ4hGxmlhFeZWFmlhFeZWFmlhGNvHS62ZyQzSxXPIdsZpYRnkM2M8sIj5DNzDLC65DNzDLCI2Qzs4zwKgszs4zwST0zs4xo5SkLP8LJzHIlavhTiaRPStogab2k5ZIOKtv/PEk/kLRJ0l2SptcTuxOymeVKRFRdBiJpCvBxYGZEzABGAGeVNTsHeCwijgK+ASytJ3Y1YXjfuv9/MLNmU71vMHL0lKpzTs+eLf32lyTkNcBrgCeBG4FvRsSqkjY3A0si4k5JI4HtwPgYZGJtxhxy3R9wI0hqj4iOtOPIAn8WB/izOCAvn8VASbacpHagvaSqY99nEBFbJH0VeBh4FlhVmowTU4BHkvY9kp4AxgI7BxP7cJqyaK/cZNjwZ3GAP4sDht1nEREdETGzpOz/hSTpEGABcAQwGThY0nuHMp7hlJDNzGrxFuCBiNgREXuBHwInlbXZAkwDSKYsXgz8ebAdOiGbmfXtYeBESWMkCZgDbCxrswJYlLw+A/j5YOePYXgl5JafG2sgfxYH+LM4wJ9FiYi4C7gOuAdYR2++7JB0kaS3J82uBMZK2gR8Crignj6bscrCzMyqMJxGyGZmmeaEbGaWEblPyJLmSrovubSxrvmdVidpmaRuSevTjiVNkqZJulXS75PLYs9PO6a0SDpI0q8l/S75LL6YdkzDWa7nkCWNAO4H3gp0AXcDCyPi96kGlhJJs4Gnge8kl4IOS5ImAZMi4h5JLwR+A5w+HL8XyeqBgyPiaUmjgF8C50fEmpRDG5byPkKeBWyKiM0RsQf4Pr0LvYeliLgd2JV2HGmLiG0RcU/y+il6lzJNSTeqdESvp5PNUUnJ7ygt4/KekPdf1pjoYpj+w7O+JXfnei1wV7qRpEfSCElrgW7glmS5l6Ug7wnZrF+SXgBcD3wiIp5MO560REQhIo4DpgKzJA3b6ay05T0h77+sMTE1qbNhLpkvvR64JiJ+mHY8WRARjwO3AnPTjmW4yntCvhs4WtIRkkbTey/TFSnHZClLTmRdCWyMiK+nHU+aJI2X9JLk9fPpPQH+h3SjGr5ynZAjogc4D7iZ3hM310bEhnSjSo+k5cCdwDGSuiSdk3ZMKXkD8D7gHyStTcq8tINKySTgVkn30juAuSUibko5pmEr18vezMxaSa5HyGZmrcQJ2cwsI5yQzcwywgnZzCwjnJDNzDLCCdnMLCOckM3MMuL/AYiOkzWkTolYAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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IkNSwew24QjazQmnkRb0BvCBpIkD2s7OffdYAk8u298v6KnJCNrNCGYabC90KbJk1cRa9N2Dr607gJEl7ZLMwTsr6KnJCNrNC6VbU3KqRdAOwGJgiabWk2cA84EOSngFOzLaRdISkHwBExAbgG8AjWfu3rK8ijyGbWaE08uaxETFrgKdO6GffJcBny7YXAAvqOZ8TspkVSiuv1HNCNrNCKbXw9047IZtZobRuOnZCNrOC8ZCFmVkielq4RnZCNrNCcYVsZpaIcIVsZpYGV8hmZonwtDczs0S0bjp2Qjazgulu4ZTshGxmheKLelV0b656G9ARY8y4g/IOIRn+XGxz4arr8w6hMHxRr4q5B5wxHKdJ2pb/cC+ffWLOkeRvt2vuBqBr/cqcI8nfll/Q/lxs+1wMlStkM7NEuEI2M0tET7hCNjNLguchm5klwmPIZmaJ8BiymVkiPGRhZpYID1mYmSXCsyzMzBLhIQszs0T4op6ZWSI8hmxmlggPWZiZJSJa+KJeW94BmJk1Ug9Rc6tG0pclLZO0XNJ5/Tx/nKSXJS3N2r8MJXZXyGZWKI0aspA0FfgcMA3YDNwh6baIeLbPrg9GxCmNOKcrZDMrlIiouVXxduCXEfFaRHQD9wOnNTN2J2QzK5QSUXOrYhlwjKS9JO0EzAAm97Pf+yQ9Lumnkt4xlNg9ZGFmhVLPtDdJ7UB7WVdHRHQARMQKSd8G7gJeBZYCPX1e4jHggIjYKGkG8L/AwYON3QnZzAqlnqXTWfLtqPD81cDVAJK+Bazu8/yfyx4vlPR9SeMiYn29cYMTspkVTCPnIUsaHxGdkvand/z4qD7P7wO8EBEhaRq9w8B/HOz5nJDNrFAavDDkJkl7AV3AFyPiT5LOAYiIq4CPAV+Q1A1sAk6PIUyEdkI2s0Jp5MKQiDimn76ryh5fDlzeqPN5loXZCKK9JrDr/NsZe1FvThk99b2M/dY1jJ13HdvPOH3rfju2X8Aul93M6CPekI+S18BZFsPOCdlshCl1rmXj188BtbHDmV/i1Uu/xsYLZzPmyONp23d/ADZ1XEz30sU5Rzo4Uce/1FQdssgGqiMiHpF0CDAdeCoiFjY9OjNrmlEHTaHUuZZ4cR0AXQ/fx5jDjuYva/+Qc2RD0xOtewPOiglZ0teBk4HRkhYBRwL3AnMkHRYRc4chRjNrAu0xjtjQuXW7tOFFRr35bTlG1BitfHOhahXyx4BDge2B54H9IuLPkr4L/BLoNyGXT7aeP39+46I1M6sixbHhWlVLyN0R0QO8Jum3WyZBR8QmSQP+XdBnsnXMnXt/Y6I1s4aJl9ajPcdv3W7bc2/ipUFPoU1GimPDtap2UW9ztoYb4PAtnZJ2o7W/KcVsxOv53dOMGj8JjdsHRo1mzLTj6PrVL/IOa8hKETW31FSrkI+NiL8ARLxupHwMcFbTojKz5iuV2HT9Zex8/jxoa6PrwTsorV2Vd1RD1soVcsWEvCUZ99O/HhjUWm0zS0f3Ew+z8YmH8w6joVp5loXnIZuNJFFCO+28dWHIQHZsv4DRU94FXZuHKbDGKfKQhZkVSGx4kVfO/1TV/TZ1XDwM0TRHYYcszMxaTYqVb62ckM2sUFwhm5kloif6fqlH63BCNrNCKfLSaTOzllLkpdNmZi3FFbKZWSI8y8LMLBGeZWFmlohWXjrthGxmheIxZDOzRHgM2cwsEa6QzcwS4XnIZmaJcIVsZpYIz7IwM0uEL+qZmSWilYcs/BVOZlYoUce/aiR9WdIyScslndfP85L0n5KelfSEpPcMJXYnZDMrlIiouVUiaSrwOWAa8G7gFElv6bPbycDBWWsHrhxK7BqG8r51/34ws+Gmob7A6O0m1ZxzujevGfB8kj4OTI+I2dn2PwN/iYh/L9tnPnBfRNyQbT8NHBcR6wYV+2AOqtOQ3+BGkNQeER15x5ECvxfb+L3YpijvRaUk25ekdnor2y06yt6DZcBcSXsBm4AZwJI+LzEJeK5se3XWN6iEPJKGLNqr7zJi+L3Yxu/FNiPuvYiIjog4oqx1lD23Avg2cBdwB7AUaOr3Q42khGxmVpeIuDoiDo+IY4GXgN/02WUNMLlse7+sb1CckM3MBiBpfPZzf+A04L/67HIr8OlstsVRwMuDHT+GkTUPueXHxhrI78U2fi+28XvxRjdlY8hdwBcj4k+SzgGIiKuAhfSOLT8LvAacPZSTDccsCzMzq4GHLMzMEuGEbGaWiMInZEnTJT2dLW2ck3c8eZK0QFKnpGV5x5InSZMl3SvpyWxJ7JfzjikvknaQ9LCkx7P34qK8YxrJCj2GLGkUvdNUPkTvhO1HgFkR8WSugeVE0rHARuCHETE173jyImkiMDEiHpO0C/AocOpI/FxIErBzRGyUNAb4OfDliHgo59BGpKJXyNOAZyNiZURsBn4MzMw5ptxExAPAhrzjyFtErIuIx7LHrwAr6F1dNeJEr43Z5pisFbdKS1zRE/JAyxrNAJB0IHAY8Mt8I8mPpFGSlgKdwKKIGLHvRd6KnpDNBiRpLHATcF5E/DnvePISET0RcSi9q8ymZXc5sxwUPSE3dFmjFUc2XnoTcH1E3Jx3PCmIiD8B9wLT845lpCp6Qn4EOFjSmyRtB5xO71JHG8GyC1lXAysi4pK848mTpL0l7Z493pHeC+BP5RvVyFXohBwR3cC5wJ30Xri5MSKW5xtVfiTdACwGpkhaLWl23jHl5GjgTOCvJC3N2oy8g8rJROBeSU/QW8Asiojbco5pxCr0tDczs1ZS6ArZzKyVOCGbmSXCCdnMLBFOyGZmiXBCNjNLhBOymVkinJDNzBLx/2pKcCpSmuiPAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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OyLlaGEIU0QEH7lsYMpj9O66mddrboWdPgwKrj5aWFv74yiuvWxgymM5vLBrSZz+1Zi2XffZaDj3U48nWXGIIrRJJSyV1S1pb0ne4pBWSnk9+HjbIsRcl+zwv6aJqYlcD5pzGzovPqfc5Mu+QW/vGaXu2r085kvS1jT8OgNaxk1OOJH29ezYCsGjqhSlHkr5rNiyDMrO3qvWVqX9XdVL77Ib/V/Z8kmYCu4B/i4jpSd9XgB0RsVjSVcBhEXFlv+MOB1YDp9KX+5+ibwrxy+XOl68K2cxGvVrOsoiIR4Ed/brnA7clr28Dzhvg0PcBKyJiR5KEVwAVVzc7IZtZrhSJqlvpIrakdVRxiokRsTl5vQWYOMA+k4GXSra7kr6ycn1Rz8xGn6Fc1Ou3iG3IIiIk1Wzc1xWymeVKLS/qDWKrpEkAyc/uAfbZCEwp2T466SvLCdnMcqUBNxe6G9g7a+Ii+m7A1t/9wLmSDktmYZyb9JXlhGxmudKrqLpVIul2YBUwTVKXpIXAYuC9kp4Hzkm2kXSqpG8DRMQO4HrgyaT9c9JXlseQzSxXajmRNyIWDPLW2QPsuxr4WMn2UmDpUM7nhGxmudLMK/WckM0sV4pN/NxpJ2Qzy5XmTcdOyGaWMx6yMDPLiEIT18hOyGaWK66QzcwyIlwhm5llgytkM7OM8LQ3M7OMaN507IRsZjnT28Qp2QnZzHKlmS/qNeSZevU+gZnlxoifqXfJsR+oOucsffE/Rny+WmpIhewHOO57gCN+4Ksf+Fpq7wNf/Xvx2u/FSDVzhewhCzPLFU97MzPLiEL9h2HrxgnZzHLF85DNzDLCY8hmZhnhMWQzs4zwkIWZWUZ4yMLMLCM8y8LMLCM8ZGFmlhG+qGdmlhEeQzYzywgPWZiZZUQD7mBZNy1pB2BmVksFoupWiaTLJa2V9KykKwZ4/yxJOyWtSdr/GUnsrpDNLFdqNWQhaTrwcWAGsAe4T9I9EfFCv10fi4h5tTinK2Qzy5WIqLpV8DbgpxHxakT0Ao8A59czdidkM8uVIlF1q2AtcKakIyQdAMwFpgyw3zsl/VzSDyX9+Uhi95CFmeXKUKa9SeoAOkq6OiOiEyAi1km6AXgAeAVYAxT6fcTPgKkRsUvSXOA/geOHG7sTspnlylCWTifJt7PM+7cAtwBI+hLQ1e/9P5S8Xi7pXyWNj4jtQ40bnJDNLGdqOQ9ZUntEdEs6hr7x49P7vX8ksDUiQtIM+oaBfzfc8zkhm1mu1HhhyJ2SjgB6gE9FxO8lXQoQETcDHwA+KakX2A1cECOYCO2EbGa5UsuFIRFx5gB9N5e8/hbwrVqdz7MszEYRHTGRg5fcy7jr+nJK6/S/YtyXbmXc4tvYb+4F+/bbv+NqDvrm92k99Q35KPNqOMui4ZyQzUaZYvcmdn3hUlALb/rIp3nlG59j1zULaTttFi1HHQPA7s4v07tmVcqRDk8M4V/WVByySAaqIyKelHQiMBv4ZUQsr3t0ZlY3Y46bRrF7E7FtMwA9T6yk7eR38adNv005spEpRPPegLNsQpb0BWAO0CppBXAa8DBwlaSTI2JRA2I0szrQYeOJHd37tos7tjHmz05IMaLaaOabC1WqkD8AnATsB2wBjo6IP0j6F+CnwIAJuXSy9ZIlS2oXrZlZBVkcG65WpYTcGxEF4FVJv947CToidksa9O+CfpOtY9GiR2oTrZnVTLy8HR3evm+75fAJxMvDnkKbGVkcG65WpYt6e5I13ACn7O2UdAjN/aQUs1Gv8JvnGNM+GY0/Esa00jbjLHr++ydphzVixYiqW9ZUqpBnRsSfACJeN1LeBlxUt6jMrP6KRXYv+yYHfmYxtLTQ89h9FDdtSDuqEWvmCrlsQt6bjAfo3w4Ma622mWVH79NPsOvpJ9IOo6aaeZaF5yGbjSZRRAccuG9hyGD277ia1mlvh549DQqsdvI8ZGFmORI7tvHHz3y44n67O7/cgGjqI7dDFmZmzSaLlW+1nJDNLFdcIZuZZUQh+j/Uo3k4IZtZruR56bSZWVPJ89JpM7Om4grZzCwjPMvCzCwjPMvCzCwjmnnptBOymeWKx5DNzDLCY8hmZhnhCtnMLCM8D9nMLCNcIZuZZYRnWZiZZYQv6pmZZUQzD1n4EU5mlisxhH+VSLpc0lpJz0q6YoD3Jen/SnpB0tOS/nIksTshm1muRETVrRxJ04GPAzOAdwDzJL2l325zgOOT1gHcNJLY1YDyvnn/fjCzRtNIP6B17OSqc07vno2Dnk/SB4HZEbEw2f488KeI+ErJPkuAlRFxe7L9HHBWRGweVuzDOWiIRvwF14KkjojoTDuOLPB38Rp/F6/Jy3dRLsn2J6mDvsp2r86S72AtsEjSEcBuYC6wut9HTAZeKtnuSvqGlZBH05BFR+VdRg1/F6/xd/GaUfddRERnRJxa0jpL3lsH3AA8ANwHrAHq+nyo0ZSQzcyGJCJuiYhTImIm8DLwq367bASmlGwfnfQNixOymdkgJLUnP48Bzgf+f79d7gY+msy2OB3YOdzxYxhd85CbfmyshvxdvMbfxWv8XbzRnckYcg/wqYj4vaRLASLiZmA5fWPLLwCvAheP5GSNmGVhZmZV8JCFmVlGOCGbmWVE7hOypNmSnkuWNl6VdjxpkrRUUrektWnHkiZJUyQ9LOkXyZLYy9OOKS2S3iTpCUk/T76L69KOaTTL9RiypDH0TVN5L30Ttp8EFkTEL1INLCWSZgK7gH+LiOlpx5MWSZOASRHxM0kHAU8B543G3wtJAg6MiF2S2oAfA5dHxOMphzYq5b1CngG8EBHrI2IP8D1gfsoxpSYiHgV2pB1H2iJic0T8LHn9R2AdfaurRp3osyvZbEtafqu0jMt7Qh5sWaMZAJKOBU4GfppuJOmRNEbSGqAbWBERo/a7SFveE7LZoCSNA+4EroiIP6QdT1oiohARJ9G3ymxGcpczS0HeE3JNlzVafiTjpXcCyyLi+2nHkwUR8XvgYWB22rGMVnlPyE8Cx0t6s6SxwAX0LXW0USy5kHULsC4ivp52PGmSNEHSocnr/em7AP7LdKMavXKdkCOiF7gMuJ++Czd3RMSz6UaVHkm3A6uAaZK6JC1MO6aUvAv4CPC/JK1J2ty0g0rJJOBhSU/TV8CsiIh7Uo5p1Mr1tDczs2aS6wrZzKyZOCGbmWWEE7KZWUY4IZuZZYQTsplZRjghm5llhBOymVlG/A9VdNflvwY4ngAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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2BYCOjhzbd7zHwQcdWNE4zSop14eWNsUS8peAjV07IqIjIr4ETKlYVNYvk479CH9qXU/r+o20t7fzyBNPMfWTpwBw86138PhT/73XOVM/eQo/W/Q4AIuXPs3JJ34M1fHDWczyKr2lTcEhi4hoLbBv7/+6raYaG4dw9T9/la/8yzfJ5XJ89pyz+fDREwB4Zc3rTD39lL3OOe+cz/CN67/H9PMv5qADD+B7182tdthmZVXPQxZeGJIxU06dzJRTJ+/V39HRwfGTPrpX/z77DOX7N1xTjdDMqqKeE7IXhtSxhoYG3t2x4wMLQ3rTcvO8Pr338ytXcdm/XsvBB3s82epL9KEVI2mhpDZJq7r0HSppiaRXkp+H9HLu7OSYVyTNLiV2V8h1bOyYUTzxwN0Vee8Tj5/EA3ffWpH3NqukMo8N3wn8EPjPLn1zgSciYr6kucn2VV1PknQo8G3gJDpz//OSHoyItwpdzBWymWVKOWdZRMQyYGu37pnAXcnru4Bzezj1M8CSiNiaJOElQNHVzU7IZpYpeaLk1nURW9KaS7jEmIjYkLzeCIzp4ZhxwBtdtluTvoI8ZGFmmdKXm3rdFrH1WUSEpLI9a8AVspllSjlv6vVik6SxAMnPth6OWQeM77J9RNJXkBOymWVKFR4u9CCwe9bEbDofwNbdY8DZkg5JZmGcnfQV5IRsZpnSoSi5FSPpXmA5MFFSq6Q5wHzg05JeAc5KtpF0kqQfA0TEVuB64Lmk/c+kryCPIZtZppTz4bERMauXXWf2cOwK4MtdthcCC/tyPSdkM8uUel6p54RsZpmSr+PvnXZCNrNMqd907IRsZhnjIQszs5TI1XGN7IRsZpniCtnMLCXCFbKZWTq4QjYzSwlPezMzS4n6TcdOyGaWMR11nJKdkM0sU+r5pp4iKh58/X46ZlZtA/5GvIuP+lzJOWfh6/9V3m/gG6CqVMjzJlxYjcuk2jVr7wFg20Vn1TiS2jvojscBaN+ypsaR1F7TyKMB/17A+78XA1XPFbKHLMwsUzztzcwsJXKVH4atGCdkM8sUz0M2M0sJjyGbmaWEx5DNzFLCQxZmZinhIQszs5TwLAszs5TwkIWZWUr4pp6ZWUp4DNnMLCU8ZGFmlhJVeIJlxTTUOgAzs3LKESW3YiRdLmmVpJckXdHD/jMkbZO0Mmn/NpDYXSGbWaaUa8hC0iTgEmAysAt4VNJDEfFqt0OfjohzynFNV8hmlikRUXIr4qPAryLivYjoAJ4Czqtk7E7IZpYpeaLkVsQq4HRJIyTtD8wAxvdw3Cck/VbSI5L+ciCxe8jCzDKlL9PeJDUDzV26WiKiBSAiVku6EVgM7ABWArlub/FrYEJEbJc0A/h/wDH9jd0J2cwypS9Lp5Pk21Jg/+3A7QCSvgO0dtv/TpfXiyT9SNLIiNjS17jBCdnMMqac85AljY6INklH0jl+fEq3/YcBmyIiJE2mcxj4zf5ezwnZzDKlzAtD7pc0AmgHvhYRb0u6FCAibgM+B3xVUgewE7ggBjAR2gnZzDKlnAtDIuL0Hvpu6/L6h8APy3U9z7IwG0Q0YgwHLniY4dd15pTGSX/D8O/cwfD5d7HPjAv2HLdf8zc44Ac/pfGkvfJR6pVxlkXVOSGbDTL5tvVs//aloAb2/eLX2XHz1Wy/Zg5NJ0+l4fAjAdjZ8l06Vi6vcaT9E334lzZFhyySgeqIiOckHQdMA34fEYsqHp2ZVcyQoyeSb1tPbN4AQPuzS2k64TT+vP5PNY5sYHJRvw/gLJiQJX0bmA40SloCnAw8CcyVdEJEzKtCjGZWATpkJLG1bc92futmhvzFsTWMqDzq+eFCxSrkzwHHA/sAG4EjIuIdSf8B/AroMSF3nWy9YMGC8kVrZlZEGseGS1UsIXdERA54T9JruydBR8ROSb3+XdBtsnXMm/dUeaI1s7KJt7agQ0fv2W44dBTxVr+n0KZGGseGS1Xspt6uZA03wIm7OyUdRH1/U4rZoJf748sMGT0OjTwMhjTSNPkM2n/zy1qHNWD5iJJb2hSrkKdExJ8BIj4wUt4EzK5YVGZWefk8O+/5AcOunA8NDbQ//Sj59WtrHdWA1XOFXDAh707GPfRvAfq1VtvM0qPjhWfZ/sKztQ6jrOp5loXnIZsNJpFH+w/bszCkN/s1f4PGiX8N7buqFFj5ZHnIwswyJLZu5t0rv1D0uJ0t361CNJWR2SELM7N6k8bKt1ROyGaWKa6QzcxSIhfdv9Sjfjghm1mmZHnptJlZXcny0mkzs7riCtnMLCU8y8LMLCU8y8LMLCXqeem0E7KZZYrHkM3MUsJjyGZmKeEK2cwsJTwP2cwsJVwhm5mlhGdZmJmlhG/qmZmlRD0PWfgrnMwsU6IP/4qRdLmkVZJeknRFD/sl6X9JelXSC5I+PpDYnZDNLFMiouRWiKRJwCXAZOBjwDmSPtztsOnAMUlrBm4dSOyqQnlfv38/mFm1aaBv0Dh0XMk5p2PXul6vJ+nzwLSImJNsfwv4c0T8e5djFgBLI+LeZPtl4IyI2NCv2PtzUh8N+AMuB0nNEdFS6zjSwJ/F+/xZvC8rn0WhJNudpGY6K9vdWrp8BquAeZJGADuBGcCKbm8xDnijy3Zr0tevhDyYhiyaix8yaPizeJ8/i/cNus8iIloi4qQuraXLvtXAjcBi4FFgJVDR74caTAnZzKxPIuL2iDgxIqYAbwF/6HbIOmB8l+0jkr5+cUI2M+uFpNHJzyOB84D/0+2QB4EvJbMtTgG29Xf8GAbXPOS6HxsrI38W7/Nn8T5/Fnu7PxlDbge+FhFvS7oUICJuAxbRObb8KvAecNFALlaNWRZmZlYCD1mYmaWEE7KZWUpkPiFLmibp5WRp49xax1NLkhZKapO0qtax1JKk8ZKelPS7ZEns5bWOqVYk7SvpWUm/TT6L62od02CW6TFkSUPonKbyaTonbD8HzIqI39U0sBqRNAXYDvxnREyqdTy1ImksMDYifi3pAOB54NzB+HshScCwiNguqQn4BXB5RDxT49AGpaxXyJOBVyNiTUTsAn4CzKxxTDUTEcuArbWOo9YiYkNE/Dp5/S6wms7VVYNOdNqebDYlLbtVWsplPSH3tqzRDABJRwEnAL+qbSS1I2mIpJVAG7AkIgbtZ1FrWU/IZr2SNBy4H7giIt6pdTy1EhG5iDiezlVmk5OnnFkNZD0hl3VZo2VHMl56P3BPRPy01vGkQUS8DTwJTKt1LINV1hPyc8Axkj4kaShwAZ1LHW0QS25k3Q6sjojv1zqeWpI0StLByev96LwB/vvaRjV4ZTohR0QHcBnwGJ03bu6LiJdqG1XtSLoXWA5MlNQqaU6tY6qR04AvAv9D0sqkzah1UDUyFnhS0gt0FjBLIuKhGsc0aGV62puZWT3JdIVsZlZPnJDNzFLCCdnMLCWckM3MUsIJ2cwsJZyQzcxSwgnZzCwl/j8JLAz/qmu5LQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(0, nIter, 1):\n",
    "    layer = results[i]\n",
    "    textList = []\n",
    "    temp = []\n",
    "    result = np.zeros((x, y))\n",
    "    for j in range(x):\n",
    "        for k in range(y):\n",
    "            result[j, k] = int(layer[j][k][0].replace(',', ''))\n",
    "            textList.append(layer[j][k][1])    \n",
    "       # textList.append(temp)\n",
    "        temp = []\n",
    "#    print(layer)\n",
    "    text = np.array(textList, dtype=object)\n",
    "    labels = (np.asarray([\"{0}\".format(t) for t in text])).reshape(x,y)\n",
    "    ax = sns.heatmap(result, linewidth=0.5, annot=labels, fmt='')\n",
    "    plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
